Dynamic Evolution of Space Objects in the GEO Region and its Vicinity

An analysis of the evolution of the dynamic parameters of the objects listed in the European Space Agency (ESA) report “Classification of Geosynchronous Objects” (Issue 20) and the objects of geostationary region and its vicinity observed with a Zeiss‒2000 telescope from the Terskol Observatory of the Terskol Branch of the Institute of Astronomy of the Russian Academy of Sciences is presented. This analysis covers: 1) the peculiarities of an orbital evolution of the objects, including an estimation of their motion stability via the MEGNO parameter and the availability of a 1:1 orbital resonance with the Earth’s rotation velocity, 2) the presence of a chaotic layer in the neighborhood of a separatrix dividing the phase space into the regions with differing behavior of the trajectories, and 3) the availability of a 1:1 orbital resonance for the objects librating at different amplitudes with respect to the stable points.